Decimal→Binary conversion — “One valid method to convert a decimal integer to binary is successive division by 2 and collecting remainders.” Evaluate.

Introduction / Context:
Converting between number bases is a common digital design and computer science task. For decimal integers, a standard manual technique is repeated division by the target base, recording remainders that become the digits in reverse order. This prompt asks whether that method applies to decimal→binary conversion.

Given Data / Assumptions:

• We convert a nonnegative decimal integer to base 2.
• Division algorithm: divide by 2 until the quotient is 0; record each remainder (0 or 1).
• Binary digits read from last remainder to first remainder.

Concept / Approach:
In positional notation, the remainder sequence from successive division by the base yields the digits because each division peels off the least significant digit in that base. For base 2, remainders are bits. Reading them in reverse produces the correct binary representation.

Step-by-Step Solution:

Verification / Alternative check:

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